Area of a Circle Sector From Area to Fraction (Equation) (Level 3)

This math topic focuses on calculating the fraction of a circle covered by a sector, based on given sector areas and circle radii. It combines elements of geometry, specifically dealing with circle sectors, and fraction computation. Each problem presents a sector's area and the radius of the circle to which the sector belongs, requiring the learner to determine what fraction of the circle's total area is represented by the sector. Multiple-choice answers guide the learners to find the correct fraction, utilizing equations and understanding of circle geometry principles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Area of a Circle Sector From Area to Fraction (Equation) Worksheet

Math worksheet on 'Area of a Circle Sector From Area to Fraction (Equation) (Level 3)'. Part of a broader unit on 'Geometry - Circle Area, Sectors and Donuts - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_sector_donut_area_logic_intro/

1

Find what fraction a sector with area 200/9 π is of a circle with radius 5

a

b

c

d

e

2

Find what fraction a sector with area 3/2 π is of a circle with radius 3

a

b

c

d

e

3

Find what fraction a sector with area 64/5 π is of a circle with radius 4

a

b

c

d

e

4

Find what fraction a sector with area 48/5 π is of a circle with radius 4

a

b

c

d

e

5

Find what fraction a sector with area 3 π is of a circle with radius 3

a

b

c

d

e

6

Find what fraction a sector with area 108/5 π is of a circle with radius 6

a

b

c

d

e

7

Find what fraction a sector with area 24 π is of a circle with radius 6

a

b

c

d

e